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5306563808 = 257131995911
BaseRepresentation
bin1001111000100101…
…11011110011100000
3111200211020101001022
410330102323303200
541331440020213
62234322025012
7245334022340
oct47422736340
914624211038
105306563808
112283464a27
1210411a8168
136675171b0
14384aa2d20
15210d10308
hex13c4bbce0

5306563808 has 96 divisors (see below), whose sum is σ = 13535101440. Its totient is φ = 1988789760.

The previous prime is 5306563799. The next prime is 5306563831. The reversal of 5306563808 is 8083656035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7373 + ... + 103283.

It is an arithmetic number, because the mean of its divisors is an integer number (140990640).

Almost surely, 25306563808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5306563808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767550720).

5306563808 is an abundant number, since it is smaller than the sum of its proper divisors (8228537632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5306563808 is a wasteful number, since it uses less digits than its factorization.

5306563808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95960 (or 95952 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5306563808 is about 72846.1653623580. The cubic root of 5306563808 is about 1744.2328582546.

The spelling of 5306563808 in words is "five billion, three hundred six million, five hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 988 1064 1456 1729 1976 2128 2912 3458 3952 4256 6916 7904 13832 27664 55328 95911 191822 383644 671377 767288 1246843 1342754 1534576 1822309 2493686 2685508 3069152 3644618 4987372 5371016 7289236 8727901 9974744 10742032 12756163 14578472 17455802 19949488 21484064 23690017 25512326 29156944 34911604 39898976 47380034 51024652 58313888 69823208 94760068 102049304 139646416 165830119 189520136 204098608 279292832 331660238 379040272 408197216 663320476 758080544 1326640952 2653281904 5306563808